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3 years ago

Re-write the expression as a product with the greatest common factor. (54 +99)

1 answer:

algol133 years ago

5 0

Find the prime factorization of 54
54 = 2 × 3 × 3 × 3
Find the prime factorization of 99
99 = 3 × 3 × 11
To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 3 × 3
GCF = 9

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Given that P = (-4, 11) and Q = (-5, 8), find the component form and magnitude of vector QP

Svetach [21]

The given points are
P = (-4,11)
Q = (-5,8)

The x-component of vector QP is
-4 - (-5) = 1
The y-component of vector QP is
11 - 8 = 3

The vector QP is
(1,3) or
$\vec{QP} = \hat{i} + 3\hat{j}$

The magnitude of the vector is
√(1² + 3²) = √(10)

Answer:
$\vec{QP} = \hat{i}+3\hat{j} \,\, or \,\, (1,3)$
The magnitude is √(10).

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2 years ago

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Y_Kistochka [10]

Answer:

5p+s

Step-by-step explanation:

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2 years ago

An airplane flies 2700 miles to Los Angeles to NYC. When the plane flies back to LA, is it flying in a negative direction? use a

dolphi86 [110]

Answer:

Distance = abs(-1700)

Distance = 1700 miles

Step-by-step explanation:

NYC is located East of Los Angels.

The Airplane flies from Los Angeles to the left direction from NYC.

Which is negative direction.

Therefore, distance = -1700

Here the distance cannot be negative even though if it flies in negative direction.

Therefore, we use the absolute value.

The absolute value of a number is always positive.

So, distace = abs( -1700)

Distance = 1700 miles.

Hope this will help you understand the concept.

Thank you.

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3 years ago

When factored completely the expression p^4-81 is equivalent to

spayn [35]

$\displaystyle\\
p^4 - 81 =\\\\
 =p^4-3^4 =\\\\
= \Big(p^2\Big)^2 - \Big(3^2\Big)^2 =\\\\
=\Big(p^2+3^2\Big)\Big(p^2-3^2\Big)=\\\\
=\boxed{\bf \Big(p^2+3^2\Big)\Big(p+3\Big)\Big(p-3\Big)}$

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2 years ago

Which of the following pairs of triangles can be proven congruent through SSS?

Anni [7]

Answer:

Step-by-step explanation:

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2 years ago

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